References
Hausdorff F.,Zur Theorie der Systeme complexer Zahlen, Leipziger Berichte, v. 52 (1900), pp. 43–61.
Portmann W. O.,Hausdorff-analytic functions of matrices, Proc. Amer. Math. Soc., v. 11 (1960), pp. 97–101.
Rinehart R. F.,The equivalence of definitions of a matrix function, Amer. Math. Monthly, v. 62, no. 6 (1955), pp. 395–414.
Rinehart R. F.,Elements of a theory of intrinsic functions on algebras, Duke Math. Jour., v. 27, (1960), pp. 1–20.
Rinehart R. F.,P and D in P −1 P −1 X P = d g [⇌i, ..., λn] =D as matrix function of X, Submitted to Can. Jour. of Mathematics.
Ringleb F.,Beiträge zur Funktionentheorie in hyperkomplexen Systemen, Rend. d. Circ. Matem. di Palermo, v. 57 (1933), pp. 311–340.
Zurmühl R.,Matrizen, 4th Ed., Springer-Verlag, (1964).
Author information
Authors and Affiliations
Additional information
Supported by Army Research Office (Durham).
Rights and permissions
About this article
Cite this article
Rinehart, R.F. The differential of a primary matrix function. Rend. Circ. Mat. Palermo 15, 209–215 (1966). https://doi.org/10.1007/BF02849436
Issue Date:
DOI: https://doi.org/10.1007/BF02849436